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Unbiased quantum phase estimation
Quantum Information and Computation, 2023 Quantum phase estimation algorithm (PEA) is one of the most important algorithms in early studies of quantum computation. However, we find that the PEA is not an unbiased estimation, which prevents the estimation error from achieving an arbitrarily small level. In this paper, we propose an unbiased phase estimation algorithm (UPEA) based on the
Xi Lu, Hongwei Lin
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Optimal Quantum Phase Estimation [PDF]
Physical Review Letters, 2009 By using a systematic optimization approach we determine quantum states of light with definite photon number leading to the best possible precision in optical two mode interferometry. Our treatment takes into account the experimentally relevant situation of photon losses.
Dorner, U +6 more
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Topics in estimation of quantum channels [PDF]
, 2010 A quantum channel is a mapping which sends density matrices to density matrices. The estimation of quantum channels is of great importance to the field of quantum information.
O'Loan, Caleb J.
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Optimal Quantum Measurements for Phase Estimation [PDF]
Physical Review Letters, 1995 Quantum information theory is applied to practical interferometer-based phase measurements to deduce the optimal phase measurement scheme with two optical modes. Optimal phase measurements, given ideal input states, reveal an asymptotic 1/n decrease in phase uncertainty Delta theta for n the mean photon number of the input state.
Sanders, BC, Milburn, GJ
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Phase estimation based on four beam linear optical scheme
, 2021 Funding Information: The research was supported by the Government of the Russian Federation (Agreement 05.Y09.21.0018) and by Terra Quantum AG. Publisher Copyright: © 2021 Author(s).We demonstrate the operation of a four beam optical scheme realizing ...
V. V. Zemlyanov +9 more
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Adaptive phase estimation through a genetic algorithm
Physical Review Research, 2020 Quantum metrology is one of the most relevant applications of quantum information theory to quantum technologies. Here, quantum probes are exploited to overcome classical bounds in the estimation of unknown parameters.
Kartikeya Rambhatla +5 more
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Quantum-enhanced stochastic phase estimation with SU(1,1) interferometer
, 2020 The quantum stochastic phase estimation has many applications in the precise measurement of various physical parameters. Similar to the estimation of a constant phase, there is a standard quantum limit for stochastic phase estimation, which can be ...
Shengshuai Liu (12796214) +7 more
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Randomized Quantum Algorithm for Statistical Phase Estimation
Physical Review Letters, 2022 Phase estimation is a quantum algorithm for measuring the eigenvalues of a Hamiltonian. We propose and rigorously analyse a randomized phase estimation algorithm with two distinctive features. First, our algorithm has complexity independent of the number of terms L in the Hamiltonian.
Kianna Wan +2 more
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Unconventional quantum Hall effect and Berry’s phase 2pi in bilayer graphene. [PDF]
, 2006 There are known two distinct types of the integer quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart recently observed in graphene ...
Novoselov, K. S. +8 more
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New Journal of Physics, 2022 We consider the task of spectral estimation of local quantum Hamiltonians. The spectral estimation is performed by estimating the oscillation frequencies or decay rates of signals representing the time evolution of states.
M E Stroeks, J Helsen, B M Terhal
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